Regularity for critical fractional Choquard equation with singular potential and its applications

We study the following fractional Choquard equation (−Δ)su+u∣x∣θ=(Iα*F(u))f(u),x∈RN,{\left(-\Delta )}^{s}u+\frac{u}{{| x| }^{\theta }}=({I}_{\alpha }* F\left(u))f\left(u),\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N⩾3N\geqslant 3, s∈12,1s\in \left(\phantom{\rule[-0.75em]{}{0ex}},\frac{1}{2},1\right)...

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Bibliographic Details

Published in:	Advances in Nonlinear Analysis
Main Authors:	Liu Senli, Yang Jie, Su Yu
Format:	Article
Language:	English
Published:	De Gruyter 2024-05-01
Subjects:	fractional choquard equation singular potential nonlocal brézis-kato’s estimate critical exponent lions-type theorem 35b25 35j20 35j75 35q55 47j30
Online Access:	https://doi.org/10.1515/anona-2024-0001